How do you integrate int x^3 ln x^4 dx using integration by parts?
2 Answers
Explanation:
First, let's rewrite
Make the following choices for
Thus,
Now it becomes apparent why we made the choices we did for
Plug in relevant values:
We can simplify the integral here:
Thus, we have
Let's not forget the
So,
Explanation:
Here's another approach:
Consider substituting first
This gives
Now use integration by parts
Now, we have
or simply
Substitute back
Our final answer is thus